Q8): To find how much heat is required to bring a kettle of water to its boiling point, you are asked to calculate the specific heat of water at 61°C The specific heat of water is given as a function of time in Table below. Temperature, T Specific heat, C₂ (°C) J kg-°C 22 42 52 82 100 4181 4179 4186 4199 4217 Determine the value of the specific heat at 7=61°C using the direct method of interpolation and a third order polynomial. Find the absolute relative approximate error for the third order polynomial approximation (Lagrange Method).

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter1: Basic Modes Of Heat Transfer
Section: Chapter Questions
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Q8): To find how much heat is required to bring a kettle of water to its
boiling point, you are asked to calculate the specific heat of water at 61°C.
The specific heat of water is given as a function of time in Table below.
Temperature, T Specific heat, C₂
(°C)
J
kg-°C
22
42
52
82
100
4181
4179
4186
4199
4217
Determine the value of the specific heat at 7=61°C using the direct
T
method of interpolation and a third order polynomial. Find the absolute
relative approximate error for the third order polynomial approximation
(Lagrange Method).
Transcribed Image Text:Q8): To find how much heat is required to bring a kettle of water to its boiling point, you are asked to calculate the specific heat of water at 61°C. The specific heat of water is given as a function of time in Table below. Temperature, T Specific heat, C₂ (°C) J kg-°C 22 42 52 82 100 4181 4179 4186 4199 4217 Determine the value of the specific heat at 7=61°C using the direct T method of interpolation and a third order polynomial. Find the absolute relative approximate error for the third order polynomial approximation (Lagrange Method).
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